Band gap design method for two-dimensional phononic crystal plate structure based on wavelet finite element model

A two-dimensional phononic crystal, wavelet finite element technology, applied in design optimization/simulation, special data processing applications, etc., can solve the problems of slow convergence, low precision, restricting the band gap design of phononic crystal plate structure, etc. The effect of good computational efficiency, convergence, and high computational accuracy
CN106777771BActive Publication Date: 2020-06-26WENZHOU UNIVERSITY
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
WENZHOU UNIVERSITY
Publication Date
2020-06-26

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Abstract

The invention discloses a design method for the band gap of a two-dimensional phonon crystal plate structure based on a wavelet finite element model. The wavelet finite element model uses the interval B-spline wavelet combined with the finite element method, replaces the polynomial interpolation of the traditional finite element with the BSWI scaling function, and combines the unit cell technology and the periodic boundary condition PBCs to establish the real symmetry of the discrete structure of the two-dimensional phononic crystal The eigenvalue problem is then calculated to obtain the bandgap characteristics of the phononic crystal. The wavelet finite element model for calculating the bandgap of the two-dimensional phononic crystal plate structure absorbs the advantages of the finite element method that can deal with complex solution domains and wavelet multi-scale approximation characteristics, and can obtain a numerical calculation model with high precision and fast convergence. The wavelet finite element model of the bandgap design of the two-dimensional phonon crystal plate structure proposed by the invention has high calculation accuracy and fast convergence, and is suitable for the bandgap design of the two-dimensional phonon crystal plate structure.
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Description

technical field

[0001] The invention belongs to the field of structural design of acoustic functional materials, and in particular relates to a method for designing a band gap of a two-dimensional phonon crystal plate structure based on a wavelet finite element model. Background technique

[0002] In recent years, based on the theory of electronic energy bands in natural crystals, scholars have become very interested in the propagation of elastic waves in periodic structures, and are bound to find a good way to control vibrations. In 1993, Kushwaha et al. used the concept of phononic crystals for the first time when they studied the periodic structure of materials. It is also pointed out that the bandgap characteristic of phononic crystals can be applied to high-precision, vibration-free environments. In 1995, when R.Martinez-Sala et al. performed an acoustic test on the sculpture "Flowing Melody", they first verified the existence of an elastic band gap experimentally. Si...

Claims

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